Not everything is possible. There are things which are provably impossible. It is, for example, impossible to find an algebraic solution for general polynom

Not everything is possible. There are things which are provably impossible. It is, for example, impossible to find an algebraic solution for general polynomials of degree five or higher. The things we know to be impossible tend to be mathematical, or a "real world" system exactly modeled by math, simply because math tends to be the way we conclusively prove something.